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On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 2013-07-16)
We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down ...
Introduction to the special issue on stability under finite deformation
(Oxford University Press, 2010)
In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...
Multiples of Pfister forms
(Elsevier, 2016-03-01)
The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ...
On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(Nature Publishing Group, 2016-04-26)
Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ...
Ray W Ogden: An Appreciation
(SAGE Publications, 2015-07)
This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion
of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ...
John Todd and the development of modern numerical analysis
(2012)
The purpose of this article is to mark the centenary of the birth of
John Todd, a pioneer in the fields of numerical analysis and computational
science. A brief account is given of his early life and career, and that
of ...
Extreme softness of brain matter in simple shear
(Elsevier, 2015-03-13)
We show that porcine brain matter can be modelled accurately as a very soft rubber-like material using the Mooney-Rivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ...
Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis
(Springer, 2015-02-20)
We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ...
Gent models for the inflation of spherical balloons
(Elsevier, 2015)
We revisit an iconic deformation of non-linear elasticity: the inflation of a rubber spherical thin shell. We use the 3-parameter Mooney and Gent-Gent (GG) phenomenological models to explain the stretch-strain curve of a ...
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 2016-07-18)
We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ...